Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12202/4288
Title: Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems.
Authors: Santos, Lea F.
Chavez-Carlos, Jorge
Bastarrachea-Magnani, Miguel A.
Lopez-del-Carpio, B.
Stransky, Pavel
Lerma-Hernandez, Sergio
Hirsch, Jorge G.
0000-0001-9400-2709
Keywords: quantum Lyapunov exponents
classical Lyapunov exponents
atom-field interaction systems
Issue Date: 26-Jul-2018
Publisher: arXiv.org
Citation: Chavez-Carlos, J., Lopez-del-Carpio, B., Bastarrachea-Magnani, M.A., Stransky, P., Lerma-Hernandez, S., Santos, L.F., and Hirsch, J.G. (2018) Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems. arXiv: 1807.10292.
Series/Report no.: arXiv;
Abstract: The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum sig- nature of classical chaos. The growth rate is expected to coincide with the classical Lyapunov exponent. This quantum-classical correspondence has been corroborated for the kicked rotor and the stadium billiard, which are one-body chaotic systems. The conjecture has not yet been validated for realistic systems with interactions. We make progress in this direction by studying the OTOC in the Dicke model, where two-level atoms cooperatively interact with a quantized radiation field. For parameters where the model is chaotic in the classical limit, the OTOC increases exponentially in time with a rate that closely follows the classical Lyapunov exponen
URI: https://arxiv.org/pdf/1807.10292.pdf
https://hdl.handle.net/20.500.12202/4288
ISSN: 2331-8422
Appears in Collections:Stern College for Women -- Faculty Publications

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